Abstract：A contact structure on a 3-manifold is a maximally non-integrable plane field. The largest integrable compact connected submanifold of contact 3-manifold is called Legendrian knot. In this talk, we focus on the universally tight contact structure on lens spaces and classify Legendrian torus knots up to Legendrian isotopy. More precisely, Legendrian torus knots is characterized by classical invariants, i.e. oriented knot type, rational Thurston-Bennequin invariant and rational rotation number.
